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Finding the Fourth Proportional to 119,281.28, 178,921.12 and 36,175.28

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Solution

The fourth proportional to 119,281.28, 178,921.12 and 36,175.28 is: 54,262.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    119,281.28 : 178,921.12 = 36,175.28 : x
  2. Step 2: Convert to fraction form
    119,281.28/178,921.12 = 36,175.28/x
  3. Step 3: Cross multiply
    119,281.28x = 178,921.12 × 36,175.28
  4. Step 4: Simplify right side
    119,281.28x = 6,472,521,613.91
  5. Step 5: Solve for x
    x = 6,472,521,613.91/119,281.28
  6. Step 6: Final answer
    x = 54,262.68

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.